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Ukrainian Mathematical Journal

, Volume 57, Issue 5, pp 782–793 | Cite as

Operators of Generalized Translation and Hypergroups Constructed from Self-Adjoint Differential Operators

  • A. V. Kosyak
  • L. P. Nizhnik
Article
  • 30 Downloads

Abstract

We construct new examples of operators of generalized translation and convolutions in eigenfunctions of certain self-adjoint differential operators.

Keywords

Differential Operator Generalize Translation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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REFERENCES

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    Yu. M. Berezans'kyi and A. A. Kalyuzhnyi, Harmonic Analysis in Hypercomplex Systems [in Russian], Naukova Dumka, Kiev (1992).Google Scholar
  2. 2.
    B. M. Levitan, Theory of Operators of Generalized Translation [in Russian], Nauka, Moscow (1973).Google Scholar
  3. 3.
    J. Ercolano and M. Schechter, “Spectral theory for operators generated by elliptic boundary problems with eigenvalue parameter in boundary conditions. I, II,” Comm. Pure Appl. Math., 18, 83–105, 397–414 (1965).MathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • A. V. Kosyak
    • 1
  • L. P. Nizhnik
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKievUkraine

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